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Finding the Fourth Proportional to 793.69, 1,189.78 and 428.51

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Solution

The fourth proportional to 793.69, 1,189.78 and 428.51 is: 642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.69 : 1,189.78 = 428.51 : x
  2. Step 2: Convert to fraction form
    793.69/1,189.78 = 428.51/x
  3. Step 3: Cross multiply
    793.69x = 1,189.78 × 428.51
  4. Step 4: Simplify right side
    793.69x = 509,832.63
  5. Step 5: Solve for x
    x = 509,832.63/793.69
  6. Step 6: Final answer
    x = 642.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.